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Finding the Third Proportional to 116,638.50 and 245,727

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Solution

The third proportional to 116,638.50 and 245,727 is: 517,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,638.50 : 245,727 = 245,727 : x
  2. Step 2: Convert to fraction form
    116,638.50/245,727 = 245,727/x
  3. Step 3: Cross multiply
    116,638.50x = 245,727 × 245,727
  4. Step 4: Simplify right side
    116,638.50x = 60,381,758,529
  5. Step 5: Solve for x
    x = 60,381,758,529/116,638.50
  6. Step 6: Final answer
    x = 517,682.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.